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The T-Mobile version of the Galaxy S III has a Qualcomm MSM8960 SoC package (which contains an integrated LTE modem), a Qualcomm RTR8600 multi-band/mode RF transceiver (which supports DC-HSPA+, LTE, and EDGE), and a Skyworks 77737 Power Amplifier Module for LTE Bands 12/17. Given this hardware, it's plausible that the T-Mobile Galaxy S IIIs could support LTE--even though T-Mobile doesn't have an LTE network at this time. Turning on the phone's LTE support would likely require rooting the phone and installing new firmware.